3 citations · 19 across the 21 of their papers we have counts for
8 papers · 1 filter
Minimal semisimple Hessenberg schemes
Rebecca Goldin, Martha Precup
We study a collection of Hessenberg varieties in the type A flag variety associated to a nonzero semisimple matrix whose conjugacy class has minimal dimension. We prove each such m…
On Positivity for the Peterson Variety
Rebecca Goldin
We aim in this manuscript to describe a specific notion of geometric positivity that manifests in cohomology rings associated to the flag variety and, in some cases, to subva…
Which Hessenberg varieties are GKM?
Rebecca Goldin, Julianna Tymoczko
Hessenberg varieties form a class of subvarieties of the flag variety , parameterized by an operator and certain subspaces of the Lie algebra of …
Equivariant Chevalley, Giambelli, and Monk Formulae for the Peterson Variety
Rebecca Goldin, Rahul Singh
We present a formula for the Poincaré dual in the flag manifold of the equivariant fundamental class of any regular nilpotent or regular semisimple Hessenberg variety as a polynomi…
Positivity of Peterson Schubert Calculus
Rebecca Goldin, Leonardo Mihalcea, Rahul Singh
The Peterson variety is a subvariety of the flag manifold equipped with an action of a one-dimensional torus, and a torus invariant paving by affine cells, called Peterson ce…
Structure Constants in equivariant oriented cohomology of flag varieties
Rebecca Goldin, Changlong Zhong
We obtain a formula for structure constants of certain variant form of Bott-Samelson classes for equivariant oriented cohomology of flag varieties. Specializing to singular cohomol…